A multi-block ADMM based approach for distribution market clearing with distribution locational marginal price
Journal Publication ResearchOnline@JCUAbstract
This work investigates a distribution locational marginal price (DLMP) scheme for promoting the market penetration of small-scale prosumers/consumers connected at distribution level and boosting their potential of demand response. In the distribution market, the distribution market operator (DMO) negotiates with each participant a node-specific DLMP and the respective demand profile of customer, so as to maximize the social welfare while respecting the operational constraints of the distribution system and load devices. First, different customers at demand side are modeled, including prosumers with photovoltaic (PV) generation, distributed storages and electric vehicles. All of them communicate with DMO and realize automated demand response by intelligent trading agent. Then, the distribution market clearing model for a massive number of customers in an ex-ante trade scheme is formulated as a market-based multi-period alternating current optimal power flow (ACOPF). As this clearing model is separable, the augmented Lagrangian relaxation (ALR) method is adopted to solve the market clearing model in a parallel manner. In the ALR, a second-order penalty term at each node is introduced to ensure the convergence, whereas it is not separable for customers. Hence, there are a multi-block demand variable coupled within the second-order penalty term at each node. A standard alternating direction method of multipliers (ADMM) algorithm cannot converge in this situation. To tackle this multi-block problem, we exploit the multi-block ADMM and distributed Dauglas-Rarchford Splitting method (d-DRSM), both of which proximally regularize the customer-specific subproblem to ensure global convergence. Furthermore, the prediction-correction mechanism in d-DRSM algorithm can achieve better rate of convergence in comparison with the multi-block ADMM. Finally, case studies are conducted and numerical results have shown the effectiveness of the proposed methodology, and the performance of different algorithms are analyzed for improving the clearing method’s efficiency.
Journal
International Journal of Electrical Power and Energy Systems
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Volume
128
ISBN/ISSN
1879-3517
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Pages Count
10
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Publisher
Elsevier
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DOI
10.1016/j.ijepes.2020.106635